Lesson 3: The Production Pulse—Multiplication & Division

How do we determine the most efficient way to cut parts from a 20-foot bar of steel?

Why does the "Order of Operations" matter when calculating a machine’s cycle time?

Product, quotient, dividend, divisor, remainder, yield, $PEMDAS$, cycle time, batch.

CCSS.MATH.CONTENT.7.NS.A.3 (Solve real-world problems using the four operations).

DOK Level: 3 (Strategic Thinking).

This lesson focuses on batch production and material yield. Students learn to calculate how many parts can be extracted from raw stock and calculate the cycle times.

Support: Provide a "Formula Cheat Sheet" that visually breaks down the PEMDAS method.
Extension: Calculate "Time per Part" if a machine produces 500 parts in a 7.5-hour shift, accounting for two 15-minute breaks.

"The Yield Report." Given a raw material length and a part length (plus kerf), students must calculate the maximum number of parts produced and the remaining scrap